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baherus [9]
3 years ago
15

Solve the system of equations 5x – 2y = 19 and -x + y = 1 by combining the equations.

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

Answer:

Step-by-step explanation:

5x - 2y = 19

-5x + 5y = 5

3y = 24

y = 8

-x + 8 = 1

-x = -7

x = 7

(7, 9)

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Please find measure of angle s. PLEASE HELP FAST!!
Studentka2010 [4]

Answer:

27

Step-by-step explanation:

15x-31 = 9x+11

6x-31 = 11

6x = 42

x = 7

15x -31 + 9x + 11 + s = 180

15(7) -31 + 9(7) + 11  + s = 180

105 - 31 + 63 + 11 + s = 180

153 + s = 180

s = 27

8 0
2 years ago
A recent survey of
Serga [27]

Answer:

The total number of students in a survey is 300.

Let the number of junior male(JM) be x and the number of senior males(SM) be y.

Let the number of junior female(JF) be p and the number of senior males(SF) be q.

It is given that there are 160 males, 80 junior females, 130 seniors.

Since number of males are 160. So the number of females are,

300-160=140

Since number of junior females is 80.

JF+SF=140\\80+SF=140\\SF=60

Since number of seniors are 130.

SM+SF=130\\SM+60=130\\SM=70

Since number of males is 160.

JM+SM=160\\JM+70=160\\JM=90

Therefore, the table and venn diagram is shown below.

6 0
3 years ago
A jar contains 17 orange,7 pink, and 4 black marbles. A marble is drawn at random.What is the probability that the marble is pin
Grace [21]
Sample space = 17 + 7 + 4 = 28
P(pink) = 7/28
P(orange) = 17/28
P(pink or orange) = P(pink) + P(orange)
P(pink or orange) = 7/28 + 17/28
P(pink or orange) = 24/28
P(pink or orange) = 6/7 or 0.857143 or 85.7%
5 0
3 years ago
The length of a square is 4x-3. Find the area in terms of x
prisoha [69]

Answer:

The area  of square in terms of x = 16x² -24x + 9

Step-by-step explanation:

It is stated in the question that the length of a square = 4x - 3

Formula to find the area of the square is

<h2 /><h2>Area = length²</h2><h2 />

Area = ( 4x - 3 )²

<em>by using ( a - b )² = a² + b² - 2ab</em>

here a = 4x and b = -3

So,

(4x)² + (-3)² - 2(4x)(3)

16x² + 9 - 2(12x)

16x² + 9 - 24x

16x² -24x + 9

The area  of square in terms of x = 16x² -24x + 9

6 0
3 years ago
Let G be a connnectde graph with n vertices and m edges. supposed also that m = n. prove that G contains exactly one cycle
ElenaW [278]

Answer:

Contradiction

Step-by-step explanation:

Suppose that G has more than one cycle and let C be one of the cycles of G, if we remove one of the edges of C from G, then by our supposition the new graph G' would have a cycle. However, the number of edges of G' is equal to m-1=n-1 and G' has the same vertices of G, which means that n is the number of vertices of G. Therefore, the number of edges of G' is equal to the number of vertices of G' minus 1, which tells us that G' is a tree (it has no cycles), and so we get a contradiction.

7 0
3 years ago
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